10559920 has 80 divisors (see below), whose sum is σ = 28480320. Its totient is φ = 3566592.

The previous prime is 10559903. The next prime is 10559929. The reversal of 10559920 is 2995501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10559920² = 223023820812800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10559929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60954 + ... + 61126.

It is an arithmetic number, because the mean of its divisors is an integer number (356004).

Almost surely, 2^10559920 is an apocalyptic number.

10559920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10559920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14240160).

10559920 is an abundant number, since it is smaller than the sum of its proper divisors (17920400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10559920 is a wasteful number, since it uses less digits than its factorization.

10559920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 10559920 is about 3249.6030526820. The cubic root of 10559920 is about 219.3917080750.

It can be divided in two parts, 105 and 59920, that added together give a square (60025 = 245²).

The spelling of 10559920 in words is "ten million, five hundred fifty-nine thousand, nine hundred twenty".